Remove individual metrics or performance indicators, make team success the important goal. Most of us work in a team of some kind, yet in places like retail sales they often pit employees against eachother with individual budgets instead of store budgets.
If you ever go into a clothing store and wonder why the changerooms look like they haven't been cleaned in weeks, that's probably why. If everyone is trying to meet an individual sales budget no one can afford the time to clean the store since it could cost them a sale. If it doesn't matter who gets the sale as there is only a store budget, they can work together to get all the extra tasks done. One person can clean the change rooms while the other takes sales etc.
When you start tracking a metric there can be all kinds of second order effects, so it's important to pick your metrics and goals wisely.